Respuesta :

The midpoint is (-1/2, 3)

Answer:  The co-ordinates of the midpoint M of the given line segment is (-0.5, 3).

Step-by-step explanation:  Given that a segment has endpoints A(-3, 5) and B(2, 1).

We are to find the midpoint M of the segment AB.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

Therefore, the co-ordinates of the midpoint M of the given line segment AB is

[tex]M\\\\\\=\left(\dfrac{-3+2}{2},\dfrac{5+1}{2}\right)\\\\\\=\left(-\dfrac{1}{2},\dfrac{6}{2}\right)\\\\=(-0.5,3).[/tex]

Thus, the co-ordinates of the midpoint M of the given line segment is (-0.5, 3).

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